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Finding the Third Proportional to 102,642 and 220,564

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Solution

The third proportional to 102,642 and 220,564 is: 473,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642 : 220,564 = 220,564 : x
  2. Step 2: Convert to fraction form
    102,642/220,564 = 220,564/x
  3. Step 3: Cross multiply
    102,642x = 220,564 × 220,564
  4. Step 4: Simplify right side
    102,642x = 48,648,478,096
  5. Step 5: Solve for x
    x = 48,648,478,096/102,642
  6. Step 6: Final answer
    x = 473,962.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.